paper

Distribution Dependent Stochastic Porous Media Equations

arXiv:2103.10135 · doi:10.1142/S0219493722400263

Abstract

Using the generalized variational framework, the strong/weak existence and uniqueness of solutions are derived for a class of distribution dependent stochastic porous media equations on general measure spaces, which also extends the classical well-posedness result of quasilinear SPDE to the distribution dependent case.

to appear in Stochastics and Dynamics, Vol. 22, No. 8 (2022) 2240026